Airfoil shape for a compressor

ABSTRACT

An article of manufacture having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in a scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete airfoil shape.

RELATED APPLICATIONS

The present application is related to the following commonly assignedapplications: Ser. No. ______ (Docket No. 277752 (1011)); Ser. No.______ (Docket No. 277754 (1013)); Ser. No. ______ (Docket No. 277765(1014)); Ser. No. ______ (Docket No. 277784 (1012)); Ser. No. ______(Docket No. 277913 (1016)); Ser. No. ______ (Docket No. 278957 (1015));Ser. No. ______ (Docket No. 278976 (1017)); Ser. No. ______ (Docket No.279003 (1018)); Ser. No. ______ (Docket No. 279149 (1019)); Ser. No.______ (Docket No. 280088 (1020)), filed concurrently herewith.

TECHNICAL FIELD

The present application and the resultant patent relate generally to gasturbine engines and more particularly relates to an airfoil profile orairfoil shape for use in a compressor.

BACKGROUND OF THE INVENTION

In a gas turbine engine, many system requirements should be met at eachstage of the flow path therethrough to meet design goals. These designgoals include, but are not limited to, overall improved efficiency, areduction in vibratory response, improved airfoil loading capability,and the like. For example, a compressor airfoil profile should achievethermal and mechanical operating requirements for a particular stage inthe compressor. Moreover, component lifetime, reliability, and costtargets also should be met.

SUMMARY OF THE INVENTION

According to one aspect of the present application, an article ofmanufacture is provided with a nominal airfoil profile substantially inaccordance with the Cartesian coordinate values of X, Y, and Z set forthin scalable TABLE 1, wherein the Cartesian coordinate values of X, Y,and Z are non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete airfoil shape.

According to another aspect of the present application, an article ofmanufacture is provided with a suction-side nominal airfoil profilesubstantially in accordance with the suction-side Cartesian coordinatevalues of X, Y, and Z set forth in scalable TABLE 1, wherein theCartesian coordinate values of X, Y, and Z are non-dimensional valuesconvertible to dimensional distances by multiplying the Cartesiancoordinate values of X, Y, and Z by a number, and wherein X and Y arecoordinates which, when connected by continuing arcs, define airfoilprofile sections at each Z height, the airfoil profile sections at eachZ height being joined smoothly with one another to form a completesuction-side airfoil shape, the X, Y, and Z coordinate values beingscalable as a function of the number to provide at least one of anon-scaled, scaled-up, and scaled-down airfoil profile.

According to yet another aspect of the present application, a compressoris provided with a number of rotor blades, each of the rotor bladesincluding an airfoil having a suction-side airfoil shape, the airfoilhaving a nominal profile substantially in accordance with thesuction-side Cartesian coordinate values of X, Y, and Z set forth inscalable TABLE 1, wherein the Cartesian coordinate values of X, Y and Zare non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete suction-side airfoil shape.

These and other features and improvements of the present application andthe resultant patent will become apparent to one of ordinary skill inthe art upon review of the following detailed description when taken inconjunction with the several drawings and the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic diagram of a gas turbine engine including acompressor, a combustor, a turbine, and a load.

FIG. 2 is a schematic diagram of a compressor with multiple stages and aflow path therethrough.

FIG. 3 is a perspective view of a rotor blade airfoil as may bedescribed herein.

FIG. 4 is a cross-sectional view of the rotor blade airfoil taken alongline 4-4 of FIG. 3.

DETAILED DESCRIPTION

Referring now to the drawings, in which like numerals refer to likeelements throughout the several views, FIG. 1 shows a schematic view ofgas turbine engine 10 as may be used herein. The gas turbine engine 10may include a compressor 15. The compressor 15 compresses an incomingflow of air 20. The compressor 15 delivers the compressed flow of air 20to a combustor 25. The combustor 25 mixes the compressed flow of air 20with a pressurized flow of fuel 30 and ignites the mixture to create aflow of combustion gases 35. Although only a single combustor 25 isshown, the gas turbine engine 10 may include any number of thecombustors 25 arranged in a circumferential array or otherwise. The flowof combustion gases 35 is delivered in turn to a turbine 40. The flow ofcombustion gases 35 drives the turbine 40 so as to produce mechanicalwork. The mechanical work produced in the turbine 40 drives thecompressor 15 via a shaft 45 and an external load 50 such as anelectrical generator and the like.

The gas turbine engine 10 may use natural gas, liquid fuels, varioustypes of syngas, and/or other types of fuels and blends thereof. The gasturbine engine 10 may be any one of a number of different gas turbineengines offered by General Electric Company of Schenectady, N.Y.,including, but not limited to, those such as a 7 or a 9 series heavyduty gas turbine engine and the like. The gas turbine engine 10 may havedifferent configurations and may use other types of components. Othertypes of gas turbine engines also may be used herein. Multiple gasturbine engines, other types of turbines, and other types of powergeneration equipment also may be used herein together.

FIG. 2 shows an example of the compressor 15. The compressor 15 mayinclude a number of compressor stages with an axial compressor flow path55 therethrough. As one non-limiting example only, the compressor flowpath 55 may include about eighteen rotor/stator stages. The exact numberof rotor and stator stages, however, may be a matter of engineeringdesign choice and may be more or less than the illustrated eighteenstages. It is to be understood that any number of rotor and statorstages may be provided herein.

Each stage of the compressor 15 may include a number ofcircumferentially spaced rotor blades 60 mounted on a rotor wheel 65 anda number of circumferentially spaced stator vanes 70 attached to astatic compressor case 75. Each of the rotor wheels 65 may be attachedto an aft drive shaft 80, which may be connected to the turbine sectionof the engine. The rotor blades and stator vanes may lie in the flowpath 55 of the compressor 15. The direction of airflow through thecompressor flow path 55 flows generally from left to right in FIG. 2.Other components and other configurations may be used herein.

The compressor rotor blades 60 impart kinetic energy to the airflow andtherefore bring about a desired pressure rise. Directly following therotor blades 60 may be a stage of the compressor stator vanes 70.However, in some designs the stator vanes may precede the rotor blades.Both the rotor blades and stator vanes turn the airflow, slow theairflow velocity (in the respective airfoil frame of reference), andyield a rise in the static pressure of the airflow. Typically, multiplerows of rotor/stator stages are arranged in axial flow compressors toachieve a desired discharge to inlet pressure ratio. Each rotor bladeand stator vane includes an airfoil, and these airfoils can be securedto rotor wheels or a stator case by an appropriate attachmentconfiguration, often known as a “root,” “base” or “dovetail”. Inaddition, the compressor 15 also may include inlet guide vanes (IGV's)85, variable stator vanes (VSV's) 90, and exit or exhaust guide vanes(EGV's) 95. All of these blades and vanes have airfoils that act on themedium (e.g., air) passing through the compressor flow path 55. Othercomponents and other configurations may be used herein.

The rotor blades 60 and stator vanes 70 are merely exemplary of thestages of the compressor 15 described herein. In addition, each rotorblade 60, stator vane 70, inlet guide vane 85, variable stator vane 90,and exit guide vane 95 may be considered an article of manufacture.Further, the article of manufacture may include a rotor blade configuredfor use with a compressor 15.

FIG. 3 shows an example of a rotor blade 100 as may be described herein.In this example, the rotor blade 100 includes an airfoil 105. Each ofthe rotor blades 100 may have an airfoil profile at any cross-sectionfrom an airfoil root 110 to an airfoil tip 120. The airfoil 105 mayconnect to a mounting base 130, which also may be referred to as adovetail. The mounting base 130 fits into a complementary shaped grooveor slot in the rotor or rotor wheel 65. Examples of the compressor 15may include a variety of blades 60 and vanes 70, 85, 90, 95 arranged inmultiple stages.

Referring to FIG. 4, the airfoil 105 may have a suction side 140 and apressure side 150. The suction side 140 may be located on the opposingside of the airfoil 105 from the pressure side 150. Thus, each rotorblade 60 may have an airfoil profile at any cross-section in the shapeof the airfoil 105. The airfoil 105 also may include a leading edge 160and a trailing edge 170 and with a chord length 180 extendingtherebetween. The root 110 of the airfoil 105 corresponds to the lowestnon-dimensional Z value of scalable TABLE 1. The tip 120 of the airfoil105 corresponds to the highest non-dimensional Z value of scalableTABLE 1. An airfoil 105 may extend beyond the compressor flowpath andmay be tipped to achieve the desired endwall clearances. By way ofexample only, the airfoil may have a height from about one (1) inch toabout twenty (20) inches (about 2.54 centimeters to about 50.8centimeters) or more. Any specific airfoil height may be used herein asdesired in a specific application. Other components and otherconfigurations may be used herein.

The compressor flow path 55 requires airfoils 105 that meet systemrequirements of aerodynamic and mechanical blade/vane loading andefficiency. For example, it is desirable that the airfoils 105 aredesigned to reduce the vibratory response or vibratory stress responseof the respective blades and/or vanes. Materials such as high strengthalloys, non-corrosive alloys, and/or stainless steels may be used in theblades and/or vanes. To define the airfoil shape of each blade airfoiland/or vane airfoil, there is a unique set or loci of points in spacethat meet the stage requirements and can be manufactured. These uniqueloci of points meet the requirements for stage efficiency and may bearrived at by iteration between aerodynamic and mechanical loadings soas to enable the turbine and compressor to run in an efficient, safe,reliable, and smooth manner. These points are unique and specific to thesystem. The locus that defines the airfoil profile includes a set ofpoints with X, Y, and Z coordinates relative to a reference origincoordinate system. The three-dimensional Cartesian coordinate system ofX, Y, and Z values given in scalable TABLE 1 below defines the profileof the rotor blade airfoil at various locations along its length. Thescalable TABLE 1 lists data for a non-coated airfoil. Theenvelope/tolerance for the coordinates may be about +/−5% of the chordlength 180 in a direction normal to any airfoil surface location orabout +/−0.25 inches (about 6.36 millimeters) in a direction normal toany airfoil surface location. However, tolerances of about +/−0.15inches to about +/−0.25 inches (about 6.36 millimeters), or about +/−3%to about +/−5% in a direction normal to an airfoil surface location mayalso be used, as desired in the specific application.

A point data origin 190 may be the mid-point of the suction or pressureside of the base or tip of the airfoil, the leading edge or trailingedge of the base of the airfoil, or any other suitable location asdesired. The coordinate values for the X, Y, and Z coordinates are setforth in non-dimensionalized units in scalable TABLE 1, although otherunits of dimensions may be used when the values are appropriatelyconverted. As one example only, the Cartesian coordinate values of X, Y,and Z may be convertible to dimensional distances by multiplying the X,Y, and Z values by a constant number (e.g., 100). The number, used toconvert the non-dimensional values to dimensional distances, may be afraction (e.g., ½, ¼, etc.), decimal fraction (e.g., 0.5, 1.5, 10.25,etc.), integer (e.g., 1, 2, 10, 100, etc.), a mixed number (e.g., 1½,10¼, etc.), and the like. The dimensional distances may be in anysuitable format (e.g., inches, feet, millimeters, centimeters, meters,etc.) As one non-limiting example only, the Cartesian coordinate systemhas orthogonally-related X, Y, and Z axes and the X axis may liegenerally parallel to the compressor rotor centerline, i.e., the rotaryaxis and a positive X coordinate value is axial toward the aft, i.e.,exhaust end of the turbine. The positive Y coordinate value extendstangentially in the direction of rotation of the rotor and the positiveZ coordinate value is radially outwardly toward the rotor blade tip orstator vane base. All the values in scalable TABLE 1 are given at roomtemperature and are unfilleted.

By defining X and Y coordinate values at selected locations in a Zdirection (or height) normal to the X, Y plane, the profile section orairfoil shape of the airfoil, at each Z height along the length of theairfoil may be ascertained. By connecting the X and Y values with smoothcontinuing arcs, each profile section at each Z height may be fixed. Theairfoil profiles of the various surface locations between each Z heightmay be determined by smoothly connecting the adjacent profile sectionsto one another to form the airfoil profile.

The values in TABLE 1 may be generated and shown from zero to four ormore decimal places for determining the profile of the airfoil. As theairfoil heats up the associated stress and temperature may cause achange in the X, Y, and Z values. Accordingly, the values for theprofile given in TABLE 1 represent ambient, non-operating or non-hotconditions (e.g., room temperature) and may be for an uncoated airfoil.

There are typical manufacturing tolerances as well as optional coatingswhich may be accounted for in the actual profile of the airfoil. Eachsection may be joined smoothly with the other sections to form thecomplete airfoil shape. It will therefore be appreciated that +/−typicalmanufacturing tolerances, i.e., +/−values, including any coatingthicknesses, are additive to the X and Y values given in TABLE 1 below.Accordingly, a distance of about +/−5% of chord length and/or +/−0.25inches (about 6.36 millimeters) in a direction normal to a surfacelocation along the airfoil profile defines an airfoil profile envelopefor this particular airfoil design and compressor, i.e., a range ofvariation between measured points on the actual airfoil surface atnominal cold or room temperature and the ideal position of those pointsas given in the TABLE 1 below at the same temperature. Additionally, adistance of about +/−5% of a chord length in a direction normal to anairfoil surface location along the airfoil profile also may define anairfoil profile envelope for this particular airfoil design. The data isscalable and the geometry pertains to all aerodynamic scales, at, aboveand/or below about 3,000 RPM. The rotor blade airfoil design is robustto this range of variation without impairment of mechanical andaerodynamic functions.

The coordinate values given in scalable TABLE 1 below provide thenominal profile for exemplary stages of a compressor rotor blade.Specifically, a second stage rotor blade of, for example, a 9HA.01compressor and the like:

TABLE 1 SUCTION SIDE PRESSURE SIDE X Y Z X Y Z 2.3893 −0.8395 −1.8662−5.0817 3.0176 −1.8662 2.3895 −0.8534 −1.8662 −5.0802 3.0185 −1.86622.3875 −0.8718 −1.8662 −5.0771 3.0201 −1.8662 2.3816 −0.8942 −1.8662−5.0708 3.0229 −1.8662 2.3698 −0.9192 −1.8662 −5.0573 3.0263 −1.86622.3466 −0.948 −1.8662 −5.0357 3.027 −1.8662 2.306 −0.9736 −1.8662−4.9978 3.0184 −1.8662 2.2464 −0.9844 −1.8662 −4.9508 2.9966 −1.86622.1732 −0.993 −1.8662 −4.8937 2.9589 −1.8662 2.0858 −1.0021 −1.8662−4.8272 2.9045 −1.8662 1.9836 −1.0117 −1.8662 −4.7455 2.8282 −1.86621.8626 −1.0215 −1.8662 −4.6532 2.738 −1.8662 1.7229 −1.0303 −1.8662−4.5536 2.6431 −1.8662 1.5643 −1.0364 −1.8662 −4.4395 2.5385 −1.86621.3869 −1.0388 −1.8662 −4.3104 2.4247 −1.8662 1.1916 −1.0367 −1.8662−4.1659 2.3024 −1.8662 0.9785 −1.0286 −1.8662 −4.013 2.1768 −1.86620.7572 −1.0136 −1.8662 −3.8507 2.0492 −1.8662 0.5276 −0.9913 −1.8662−3.679 1.9197 −1.8662 0.29 −0.9612 −1.8662 −3.4979 1.7883 −1.8662 0.0444−0.922 −1.8662 −3.3077 1.6552 −1.8662 −0.2089 −0.873 −1.8662 −3.10851.52 −1.8662 −0.4699 −0.8131 −1.8662 −2.9006 1.3823 −1.8662 −0.7384−0.7412 −1.8662 −2.6841 1.2421 −1.8662 −1.0053 −0.659 −1.8662 −2.46621.1039 −1.8662 −1.2694 −0.5669 −1.8662 −2.2469 0.968 −1.8662 −1.5287−0.4656 −1.8662 −2.0259 0.835 −1.8662 −1.7835 −0.3558 −1.8662 −1.8030.7053 −1.8662 −2.0341 −0.2378 −1.8662 −1.5784 0.5785 −1.8662 −2.2804−0.1119 −1.8662 −1.3523 0.4545 −1.8662 −2.5227 0.0218 −1.8662 −1.12460.3331 −1.8662 −2.7604 0.1641 −1.8662 −0.8953 0.2152 −1.8662 −2.9930.3162 −1.8662 −0.6646 0.1016 −1.8662 −3.2202 0.4785 −1.8662 −0.4322−0.0073 −1.8662 −3.4414 0.6508 −1.8662 −0.198 −0.1107 −1.8662 −3.64740.8252 −1.8662 0.0304 −0.2049 −1.8662 −3.839 1.0008 −1.8662 0.2529−0.2899 −1.8662 −4.0168 1.1767 −1.8662 0.4695 −0.3657 −1.8662 −4.18141.3525 −1.8662 0.6803 −0.4326 −1.8662 −4.3337 1.5273 −1.8662 0.8849−0.4908 −1.8662 −4.474 1.7006 −1.8662 1.0833 −0.5411 −1.8662 −4.60281.8722 −1.8662 1.2752 −0.5838 −1.8662 −4.7204 2.0415 −1.8662 1.4522−0.6177 −1.8662 −4.8213 2.1994 −1.8662 1.6137 −0.6444 −1.8662 −4.90662.345 −1.8662 1.7592 −0.6653 −1.8662 −4.9774 2.4772 −1.8662 1.8885−0.681 −1.8662 −5.0388 2.6037 −1.8662 2.0008 −0.6926 −1.8662 −5.08492.7164 −1.8662 2.0959 −0.7012 −1.8662 −5.1114 2.8062 −1.8662 2.1773−0.7076 −1.8662 −5.1231 2.8801 −1.8662 2.2458 −0.712 −1.8662 −5.12252.9364 −1.8662 2.3012 −0.7203 −1.8662 −5.113 2.9774 −1.8662 2.34 −0.7424−1.8662 −5.1021 2.9982 −1.8662 2.3636 −0.7674 −1.8662 −5.0923 3.0097−1.8662 2.3767 −0.7897 −1.8662 −5.0865 3.0145 −1.8662 2.3842 −0.8098−1.8662 −5.0834 3.0166 −1.8662 2.3879 −0.8266 −1.8662 2.37 −0.8356−1.4154 −5.0906 2.9571 −1.4154 2.3699 −0.8494 −1.4154 −5.0892 2.9581−1.4154 2.3675 −0.8674 −1.4154 −5.0862 2.9598 −1.4154 2.3611 −0.8894−1.4154 −5.08 2.9629 −1.4154 2.3487 −0.9137 −1.4154 −5.0668 2.967−1.4154 2.3247 −0.9412 −1.4154 −5.0454 2.9689 −1.4154 2.2837 −0.9647−1.4154 −5.0073 2.9624 −1.4154 2.2245 −0.9736 −1.4154 −4.9595 2.9433−1.4154 2.152 −0.9807 −1.4154 −4.9008 2.9087 −1.4154 2.0657 −0.9881−1.4154 −4.8323 2.8579 −1.4154 1.9646 −0.9957 −1.4154 −4.748 2.7855−1.4154 1.8451 −1.0033 −1.4154 −4.653 2.6993 −1.4154 1.7071 −1.0096−1.4154 −4.5511 2.6081 −1.4154 1.5505 −1.0131 −1.4154 −4.435 2.5072−1.4154 1.3755 −1.013 −1.4154 −4.3043 2.397 −1.4154 1.1827 −1.0083−1.4154 −4.1586 2.2781 −1.4154 0.9724 −0.9977 −1.4154 −4.0048 2.1556−1.4154 0.754 −0.9805 −1.4154 −3.8419 2.0309 −1.4154 0.5274 −0.9563−1.4154 −3.6698 1.9042 −1.4154 0.2929 −0.9247 −1.4154 −3.4886 1.7755−1.4154 0.0504 −0.8845 −1.4154 −3.2983 1.6451 −1.4154 −0.1997 −0.835−1.4154 −3.0991 1.5126 −1.4154 −0.4575 −0.7752 −1.4154 −2.8913 1.3777−1.4154 −0.7226 −0.7039 −1.4154 −2.6749 1.2404 −1.4154 −0.9862 −0.623−1.4154 −2.4572 1.105 −1.4154 −1.2471 −0.5329 −1.4154 −2.2381 0.9718−1.4154 −1.5035 −0.4341 −1.4154 −2.0174 0.8415 −1.4154 −1.7558 −0.3273−1.4154 −1.7949 0.7144 −1.4154 −2.0041 −0.2126 −1.4154 −1.5708 0.5901−1.4154 −2.2486 −0.0904 −1.4154 −1.3453 0.4684 −1.4154 −2.4891 0.0394−1.4154 −1.1184 0.3492 −1.4154 −2.7254 0.1775 −1.4154 −0.8898 0.2331−1.4154 −2.9567 0.3251 −1.4154 −0.6599 0.1209 −1.4154 −3.183 0.4827−1.4154 −0.4284 0.0131 −1.4154 −3.4036 0.6501 −1.4154 −0.1953 −0.0895−1.4154 −3.6099 0.8201 −1.4154 0.0319 −0.1833 −1.4154 −3.8025 0.9918−1.4154 0.2531 −0.2684 −1.4154 −3.9822 1.1644 −1.4154 0.4683 −0.3446−1.4154 −4.1492 1.3368 −1.4154 0.6775 −0.4121 −1.4154 −4.304 1.5079−1.4154 0.8805 −0.4715 −1.4154 −4.4471 1.6771 −1.4154 1.0771 −0.5231−1.4154 −4.5786 1.8439 −1.4154 1.2673 −0.5674 −1.4154 −4.699 2.0076−1.4154 1.4425 −0.6031 −1.4154 −4.803 2.1603 −1.4154 1.6023 −0.6316−1.4154 −4.8916 2.301 −1.4154 1.7461 −0.6544 −1.4154 −4.966 2.4288−1.4154 1.8739 −0.6719 −1.4154 −5.0312 2.551 −1.4154 1.9852 −0.6852−1.4154 −5.0811 2.6603 −1.4154 2.0794 −0.6953 −1.4154 −5.1108 2.7475−1.4154 2.1601 −0.7031 −1.4154 −5.1255 2.8199 −1.4154 2.228 −0.7087−1.4154 −5.1273 2.8752 −1.4154 2.2832 −0.717 −1.4154 −5.1197 2.9159−1.4154 2.3219 −0.7388 −1.4154 −5.1099 2.937 −1.4154 2.3453 −0.7637−1.4154 −5.1006 2.9487 −1.4154 2.3581 −0.7858 −1.4154 −5.0952 2.9538−1.4154 2.3654 −0.806 −1.4154 −5.0922 2.956 −1.4154 2.3689 −0.8228−1.4154 2.3571 −0.833 −1.1147 −5.095 2.9207 −1.1147 2.3568 −0.8467−1.1147 −5.0936 2.9217 −1.1147 2.3541 −0.8646 −1.1147 −5.0906 2.9235−1.1147 2.3474 −0.8863 −1.1147 −5.0846 2.9267 −1.1147 2.3345 −0.9101−1.1147 −5.0716 2.9312 −1.1147 2.31 −0.9367 −1.1147 −5.0503 2.9336−1.1147 2.2686 −0.9588 −1.1147 −5.0122 2.9281 −1.1147 2.2096 −0.9664−1.1147 −4.9642 2.9103 −1.1147 2.1376 −0.9725 −1.1147 −4.905 2.8775−1.1147 2.0519 −0.9787 −1.1147 −4.8356 2.8286 −1.1147 1.9515 −0.985−1.1147 −4.7499 2.7587 −1.1147 1.8329 −0.9911 −1.1147 −4.6536 2.6751−1.1147 1.6958 −0.9957 −1.1147 −4.5504 2.5864 −1.1147 1.5404 −0.9975−1.1147 −4.4332 2.4881 −1.1147 1.3668 −0.9955 −1.1147 −4.3016 2.3804−1.1147 1.1755 −0.9891 −1.1147 −4.1552 2.2639 −1.1147 0.9669 −0.9768−1.1147 −4.0008 2.1439 −1.1147 0.7501 −0.9581 −1.1147 −3.8376 2.0215−1.1147 0.5253 −0.9326 −1.1147 −3.6654 1.8969 −1.1147 0.2924 −0.8999−1.1147 −3.4842 1.7702 −1.1147 0.0518 −0.859 −1.1147 −3.2942 1.6417−1.1147 −0.1966 −0.809 −1.1147 −3.0954 1.511 −1.1147 −0.4525 −0.749−1.1147 −2.8881 1.3777 −1.1147 −0.7158 −0.678 −1.1147 −2.6722 1.2421−1.1147 −0.9775 −0.5978 −1.1147 −2.4551 1.1085 −1.1147 −1.2364 −0.5087−1.1147 −2.2366 0.9771 −1.1147 −1.4911 −0.4114 −1.1147 −2.0165 0.8487−1.1147 −1.7419 −0.3063 −1.1147 −1.7949 0.7234 −1.1147 −1.9889 −0.1936−1.1147 −1.5717 0.601 −1.1147 −2.2322 −0.0734 −1.1147 −1.3472 0.4811−1.1147 −2.4718 0.0542 −1.1147 −1.1215 0.3635 −1.1147 −2.7072 0.1901−1.1147 −0.8943 0.2489 −1.1147 −2.9379 0.3354 −1.1147 −0.6652 0.1377−1.1147 −3.1637 0.4906 −1.1147 −0.4341 0.0304 −1.1147 −3.3837 0.6552−1.1147 −0.2007 −0.0724 −1.1147 −3.5898 0.8221 −1.1147 0.0272 −0.1667−1.1147 −3.7825 0.9906 −1.1147 0.2491 −0.2524 −1.1147 −3.9627 1.1599−1,1147 0.4649 −0.3295 −1.1147 −4.1306 1.3289 −1.1147 0.6747 −0.3982−1.1147 −4.2864 1.4966 −1.1147 0.8783 −0.4587 −1.1147 −4.4308 1.6625−1.1147 1.0756 −0.5116 −1.1147 −4.5638 1.826 −1.1147 1.266 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1.3658 −1.9921 0.937 1.3658−1.7009 −0.0817 1.3658 −1.7758 0.815 1.3658 −1.9361 0.0276 1.3658−1.5577 0.6959 1.3658 −2.1678 0.1442 1.3658 −1.3381 0.5796 1.3658−2.3957 0.2679 1.3658 −1.1173 0.4661 1.3658 −2.6199 0.3993 1.3658 −0.8950.3556 1.3658 −2.8399 0.5388 1.3658 −0.6712 0.2483 1.3658 −3.0556 0.6871.3658 −0.4459 0.1443 1.3658 −3.2669 0.8438 1.3658 −0.2189 0.0439 1.3658−3.4657 1.0025 1.3658 0.0022 −0.0496 1.3658 −3.6521 1.1622 1.3658 0.2175−0.1361 1.3658 −3.8265 1.3225 1.3658 0.4267 −0.2157 1.3658 −3.98941.4824 1.3658 0.6294 −0.2883 1.3658 −4.1411 1.641 1.3658 0.8256 −0.35451.3658 −4.282 1.7977 1.3658 1.0152 −0.4146 1.3658 −4.4123 1.952 1.36581.1978 −0.4692 1.3658 −4.533 2.1029 1.3658 1.3654 −0.5162 1.3658 −4.63872.2433 1.3658 1.5177 −0.5565 1.3658 −4.7303 2.3721 1.3658 1.6543 −0.59121.3658 −4.8087 2.4887 1.3658 1.7752 −0.6207 1.3658 −4.8789 2.6003 1.36581.8801 −0.6452 1.3658 −4.9341 2.7003 1.3658 1.9691 −0.6652 1.3658−4.9696 2.7806 1.3658 2.0452 −0.6819 1.3658 −4.9905 2.8475 1.3658 2.1093−0.6955 1.3658 −4.9987 2.8996 1.3658 2.162 −0.7071 1.3658 −4.9971 2.9391.3658 2.1993 −0.7276 1.3658 −4.9908 2.9601 1.3658 2.2208 −0.7524 1.3658−4.9837 2.9723 1.3658 2.2315 −0.7746 1.3658 −4.9791 2.9776 1.3658 2.2364−0.7946 1.3658 −4.9765 2.9801 1.3658 2.2375 −0.811 1.3658 2.1769 −0.85531.8929 −4.9433 3.0181 1.8929 2.1739 −0.8679 1.8929 −4.9419 3.0191 1.89292.1677 −0.8839 1.8929 −4.9392 3.021 1.8929 2.1564 −0.9022 1.8929 −4.93333.0242 1.8929 2.1383 −0.9207 1.8929 −4.9206 3.0281 1.8929 2.1085 −0.93751.8929 −4.8998 3.029 1.8929 2.0643 −0.9439 1.8929 −4.8633 3.0211 1.89292.0082 −0.9391 1.8929 −4.8179 3.0014 1.8929 1.9401 −0.9329 1.8929−4.7614 2.9674 1.8929 1.859 −0.925 1.8929 −4.6949 2.9186 1.8929 1.7642−0.9154 1.8929 −4.6126 2.8502 1.8929 1.6523 −0.9031 1.8929 −4.51992.7686 1.8929 1.5233 −0.8876 1.8929 −4.4208 2.6818 1.8929 1.3772 −0.86841.8929 −4.3087 2.5849 1.8929 1.2143 −0.8452 1.8929 −4.1835 2.4781 1.89291.0346 −0.8178 1.8929 −4.0448 2.3617 1.8929 0.8383 −0.7858 1.8929−3.8988 2.2413 1.8929 0.6339 −0.7499 1.8929 −3.7445 2.118 1.8929 0.4218−0.7092 1.8929 −3.5816 1.9923 1.8929 0.2019 −0.6632 1.8929 −3.40981.8646 1.8929 −0.0254 −0.6111 1.8929 −3.229 1.7355 1.8929 −0.2602−0.5521 1.8929 −3.0393 1.6047 1.8929 −0.5021 −0.4853 1.8929 −2.84091.4722 1.8929 −0.7509 −0.4099 1.8929 −2.6335 1.338 1.8929 −0.9974−0.3276 1.8929 −2.4245 1.2067 1.8929 −1.2403 −0.2385 1.8929 −2.21391.0781 1.8929 −1.4796 −0.1422 1.8929 −2.0017 0.9524 1.8929 −1.7152−0.0388 1.8929 −1.7877 0.8299 1.8929 −1.9471 0.0717 1.8929 −1.572 0.71031.8929 −2.1755 0.1892 1.8929 −1.3548 0.5936 1.8929 −2.4001 0.3139 1.8929−1.136 0.4796 1.8929 −2.6209 0.4461 1.8929 −0.9157 0.3685 1.8929 −2.83750.5864 1.8929 −0.6936 0.2604 1.8929 −3.0497 0.7352 1.8929 −0.4701 0.15561.8929 −3.2576 0.8924 1.8929 −0.245 0.0541 1.8929 −3.4532 1.0513 1.8929−0.026 −0.0406 1.8929 −3.6364 1.2111 1.8929 0.187 −0.1286 1.8929 −3.80781.3713 1.8929 0.3938 −0.21 1.8929 −3.9681 1.5309 1.8929 0.5942 −0.28481.8929 −4.1174 1.6888 1.8929 0.7881 −0.3536 1.8929 −4.2561 1.8448 1.89290.9752 −0.4168 1.8929 −4.3847 1.9982 1.8929 1.1554 −0.4747 1.8929−4.5038 2.1479 1.8929 1.3207 −0.5254 1.8929 −4.6082 2.2872 1.8929 1.4708−0.5694 1.8929 −4.6988 2.4149 1.8929 1.6054 −0.6077 1.8929 −4.77632.5305 1.8929 1.7245 −0.6406 1.8929 −4.8458 2.641 1.8929 1.8279 −0.66831.8929 −4.9007 2.74 1.8929 1.9155 −0.6911 1.8929 −4.9361 2.8194 1.89291.9905 −0.7102 1.8929 −4.9572 2.8856 1.8929 2.0537 −0.7258 1.8929−4.9658 2.9371 1.8929 2.1056 −0.7387 1.8929 −4.9646 2.9762 1.8929 2.1425−0.7592 1.8929 −4.9587 2.9972 1.8929 2.1635 −0.7842 1.8929 −4.95173.0093 1.8929 2.1736 −0.8065 1.8929 −4.9472 3.0146 1.8929 2.1777 −0.82661.8929 −4.9446 3.0169 1.8929 2.1782 −0.843 1.8929 2.0307 −1.0301 3.0959−4.859 3.1302 3.0959 2.0265 −1.0421 3.0959 −4.8576 3.1311 3.0959 2.0186−1.057 3.0959 −4.8548 3.1329 3.0959 2.0053 −1.0736 3.0959 −4.8489 3.13583.0959 1.9854 −1.0893 3.0959 −4.836 3.1389 3.0959 1.9539 −1.1016 3.0959−4.8153 3.1382 3.0959 1.91 −1.1008 3.0959 −4.7797 3.1277 3.0959 1.8555−1.0905 3.0959 −4.736 3.1053 3.0959 1.7893 −1.0779 3.0959 −4.6817 3.06853.0959 1.7106 −1.0625 3.0959 −4.6181 3.0171 3.0959 1.6185 −1.0442 3.0959−4.5394 2.9458 3.0959 1.5098 −1.022 3.0959 −4.4507 2.8613 3.0959 1.3846−0.9957 3.0959 −4.3557 2.7714 3.0959 1.2429 −0.9648 3.0959 −4.24822.6711 3.0959 1.0848 −0.9292 3.0959 −4.1279 2.5606 3.0959 0.9103 −0.88883.0959 −3.9946 2.4402 3.0959 0.7197 −0.8431 3.0959 −3.8541 2.3155 3.09590.5212 −0.7937 3.0959 −3.7058 2.1873 3.0959 0.315 −0.74 3.0959 −3.54942.056 3.0959 0.1013 −0.6816 3.0959 −3.3848 1.9221 3.0959 −0.1197 −0.61773.0959 −3.2116 1.7861 3.0959 −0.3479 −0.5475 3.0959 −3.0298 1.64813.0959 −0.5828 −0.47 3.0959 −2.8393 1.5082 3.0959 −0.8241 −0.3841 3.0959−2.6396 1.367 3.0959 −1.0623 −0.2924 3.0959 −2.4375 1.2292 3.0959 −1.297−0.1945 3.0959 −2.2332 1.0943 3.0959 −1.5282 −0.0901 3.0959 −2.02670.9624 3.0959 −1.7557 0.0207 3.0959 −1.8183 0.8337 3.0959 −1.9795 0.13823.0959 −1.6081 0.7082 3.0959 −2.1996 0.2625 3.0959 −1.3961 0.5855 3.0959−2.4158 0.3936 3.0959 −1.1825 0.4655 3.0959 −2.6279 0.5321 3.0959−0.9676 0.3482 3.0959 −2.8356 0.6786 3.0959 −0.7513 0.2336 3.0959−3.0388 0.8331 3.0959 −0.5336 0.1219 3.0959 −3.2376 0.9955 3.0959−0.3144 0.0131 3.0959 −3.4245 1.1592 3.0959 −0.1011 −0.0893 3.0959−3.5994 1.323 3.0959 0.1062 −0.1853 3.0959 −3.763 1.4864 3.0959 0.3074−0.2754 3.0959 −3.9162 1.6483 3.0959 0.5023 −0.3597 3.0959 −4.05921.8078 3.0959 0.6907 −0.4384 3.0959 −4.1925 1.9644 3.0959 0.8724 −0.51193.0959 −4.3162 2.118 3.0959 1.0473 −0.5803 3.0959 −4.4311 2.2676 3.09591.2076 −0.6413 3.0959 −4.5318 2.4064 3.0959 1.3531 −0.6953 3.0959−4.6193 2.5335 3.0959 1.4836 −0.7428 3.0959 −4.6941 2.6484 3.0959 1.5989−0.7842 3.0959 −4.7614 2.7581 3.0959 1.699 −0.8197 3.0959 −4.8147 2.8563.0959 1.7838 −0.8493 3.0959 −4.8495 2.9343 3.0959 1.8563 −0.8744 3.0959−4.8706 2.9996 3.0959 1.9174 −0.8952 3.0959 −4.8796 3.0501 3.0959 1.9677−0.9122 3.0959 −4.8793 3.0887 3.0959 2.0041 −0.9333 3.0959 −4.874 3.10943.0959 2.0236 −0.959 3.0959 −4.8674 3.1215 3.0959 2.032 −0.9818 3.0959−4.8629 3.1267 3.0959 2.0344 −1.002 3.0959 −4.8603 3.1291 3.0959 2.0333−1.0181 3.0959 1.8682 −1.3101 4.2989 −4.7549 3.2796 4.2989 1.8627−1.3215 4.2989 −4.7535 3.2806 4.2989 1.8531 −1.3352 4.2989 −4.75073.2822 4.2989 1.8379 −1.3497 4.2989 −4.7446 3.2848 4.2989 1.8158 −1.3624.2989 −4.7315 3.2868 4.2989 1.7829 −1.3682 4.2989 −4.711 3.2844 4.29891.7401 −1.3591 4.2989 −4.6764 3.2712 4.2989 1.6874 −1.3431 4.2989−4.6342 3.246 4.2989 1.6234 −1.3236 4.2989 −4.5821 3.2062 4.2989 1.5473−1.3003 4.2989 −4.5212 3.1518 4.2989 1.4584 −1.2727 4.2989 −4.446 3.07714.2989 1.3533 −1.2398 4.2989 −4.3609 2.989 4.2989 1.2323 −1.2014 4.2989−4.2697 2.8955 4.2989 1.0953 −1.1572 4.2989 −4.1664 2.7911 4.2989 0.9424−1.1071 4.2989 −4.0507 2.676 4.2989 0.7739 −1.0506 4.2989 −3.9225 2.55034.2989 0.5897 −0.9877 4.2989 −3.7876 2.4199 4.2989 0.398 −0.9206 4.2989−3.6453 2.2853 4.2989 0.1988 −0.8493 4.2989 −3.4958 2.1466 4.2989−0.0076 −0.7731 4.2989 −3.3388 2.0041 4.2989 −0.221 −0.6915 4.2989−3.1738 1.8584 4.2989 −0.4413 −0.6038 4.2989 −3.0007 1.7097 4.2989−0.6678 −0.5091 4.2989 −2.8191 1.5584 4.2989 −0.8995 −0.407 4.2989−2.6283 1.4051 4.2989 −1.1283 −0.3001 4.2989 −2.4347 1.2553 4.2989−1.3538 −0.1882 4.2989 −2.2386 1.1087 4.2989 −1.5758 −0.0707 4.2989−2.0404 0.9652 4.2989 −1.794 0.0526 4.2989 −1.84 0.825 4.2989 −2.00830.1822 4.2989 −1.6372 0.6881 4.2989 −2.2184 0.3183 4.2989 −1.4325 0.55434.2989 −2.4243 0.461 4.2989 −1.2259 0.4229 4.2989 −2.6257 0.6108 4.2989−1.0179 0.2938 4.2989 −2.8224 0.7678 4.2989 −0.8087 0.1667 4.2989−3.0145 0.9322 4.2989 −0.5984 0.0417 4.2989 −3.202 1.1038 4.2989 −0.3868−0.0814 4.2989 −3.3789 1.2761 4.2989 −0.1812 −0.1982 4.2989 −3.54461.4476 4.2989 0.0185 −0.3091 4.2989 −3.6997 1.6173 4.2989 0.2122 −0.41414.2989 −3.8452 1.7844 4.2989 0.3997 −0.5135 4.2989 −3.9817 1.9479 4.29890.581 −0.6072 4.2989 −4.1093 2.1077 4.2989 0.7559 −0.6954 4.2989 −4.22822.2636 4.2989 0.9242 −0.7784 4.2989 −4.3388 2.415 4.2989 1.0786 −0.85294.2989 −4.4359 2.555 4.2989 1.2187 −0.9194 4.2989 −4.5203 2.6832 4.29891.3443 −0.9784 4.2989 −4.5926 2.7988 4.2989 1.4554 −1.0299 4.2989−4.6576 2.9089 4.2989 1.5518 −1.0743 4.2989 −4.7093 3.0068 4.2989 1.6334−1.1117 4.2989 −4.7434 3.0849 4.2989 1.7032 −1.1435 4.2989 −4.76453.1498 4.2989 1.7619 −1.1702 4.2989 −4.774 3.1999 4.2989 1.8103 −1.1924.2989 −4.7744 3.2383 4.2989 1.8468 −1.2131 4.2989 −4.7697 3.259 4.29891.866 −1.239 4.2989 −4.7634 3.2711 4.2989 1.8733 −1.2622 4.2989 −4.75893.2763 4.2989 1.8744 −1.2824 4.2989 −4.7563 3.2786 4.2989 1.8719 −1.29844.2989 1.6787 −1.6359 5.502 −4.6497 3.4252 5.502 1.6721 −1.6465 5.502−4.6483 3.4261 5.502 1.6607 −1.6588 5.502 −4.6453 3.4277 5.502 1.6435−1.6705 5.502 −4.639 3.4299 5.502 1.6196 −1.6779 5.502 −4.6258 3.43095.502 1.5864 −1.6754 5.502 −4.6055 3.4267 5.502 1.546 −1.6586 5.502−4.5718 3.4111 5.502 1.4958 −1.637 5.502 −4.531 3.3835 5.502 1.4347−1.6107 5.502 −4.4807 3.3411 5.502 1.3622 −1.5793 5.502 −4.4222 3.2845.502 1.2773 −1.5423 5.502 −4.3495 3.2063 5.502 1.1772 −1.4982 5.502−4.2673 3.1151 5.502 1.0619 −1.447 5.502 −4.179 3.0184 5.502 0.9314−1.3885 5.502 −4.079 2.9103 5.502 0.7858 −1.3225 5.502 −3.967 2.79095.502 0.6253 −1.249 5.502 −3.8432 2.6603 5.502 0.4498 −1.1675 5.502−3.7129 2.5245 5.502 0.2671 −1.0816 5.502 −3.576 2.3838 5.502 0.0774−0.991 5.502 −3.4323 2.2382 5.502 −0.1193 −0.8952 5.502 −3.2817 2.08795.502 −0.3225 −0.7938 5.502 −3.1238 1.9334 5.502 −0.5319 −0.6863 5.502−2.9584 1.7748 5.502 −0.7469 −0.5722 5.502 −2.7854 1.6126 5.502 −0.9671−0.4509 5.502 −2.6039 1.4475 5.502 −1.1847 −0.3259 5.502 −2.4197 1.28535.502 −1.3995 −0.1968 5.502 −2.2331 1.126 5.502 −1.6111 −0.063 5.502−2.044 0.9693 5.502 −1.8191 0.0759 5.502 −1.8527 0.8155 5.502 −2.02330.2205 5.502 −1.6591 0.6647 5.502 −2.2234 0.371 5.502 −1.4634 0.51675.502 −2.4193 0.5276 5.502 −1.266 0.3709 5.502 −2.6108 0.6907 5.502−1.0672 0.2268 5.502 −2.7978 0.8604 5.502 −0.8675 0.0842 5.502 −2.98031.0365 5.502 −0.6668 −0.0573 5.502 −3.1579 1.218 5.502 −0.4654 −0.19745.502 −3.3248 1.398 5.502 −0.2697 −0.3317 5.502 −3.4815 1.5758 5.502−0.08 −0.46 5.502 −3.6287 1.7507 5.502 0.1039 −0.5825 5.502 −3.76741.9218 5.502 0.2818 −0.699 5.502 −3.8978 2.0885 5.502 0.4539 −0.80975.502 −4.0203 2.2507 5.502 0.6199 −0.9146 5.502 −4.1348 2.4084 5.5020.7798 −1.014 5.502 −4.2416 2.5611 5.502 0.9264 −1.1037 5.502 −4.33572.7019 5.502 1.0594 −1.1843 5.502 −4.4177 2.8305 5.502 1.1787 −1.25595.502 −4.488 2.9463 5.502 1.2841 −1.3187 5.502 −4.5515 3.0564 5.5021.3757 −1.3729 5.502 −4.6023 3.1541 5.502 1.4531 −1.4187 5.502 −4.6363.2318 5.502 1.5194 −1.4578 5.502 −4.6572 3.2962 5.502 1.5751 −1.49065.502 −4.6672 3.3459 5.502 1.621 −1.5175 5.502 −4.6683 3.384 5.5021.6575 −1.5394 5.502 −4.6642 3.4047 5.502 1.6788 −1.5641 5.502 −4.65813.4168 5.502 1.6867 −1.5876 5.502 −4.6537 3.422 5.502 1.6872 −1.60835.502 −4.6511 3.4242 5.502 1.6836 −1.6244 5.502 1.4847 −1.941 6.705−4.5627 3.5677 6.705 1.4769 −1.951 6.705 −4.5613 3.5685 6.705 1.4639−1.9616 6.705 −4.5583 3.57 6.705 1.4446 −1.9698 6.705 −4.5518 3.57186.705 1.4195 −1.9712 6.705 −4.5384 3.5718 6.705 1.3884 −1.9587 6.705−4.5184 3.5661 6.705 1.3501 −1.9372 6.705 −4.4856 3.5484 6.705 1.3022−1.9103 6.705 −4.4458 3.5186 6.705 1.2441 −1.8775 6.705 −4.397 3.47416.705 1.1749 −1.8385 6.705 −4.34 3.4146 6.705 1.0941 −1.7927 6.705−4.2692 3.3343 6.705 0.9987 −1.7383 6.705 −4.1888 3.2404 6.705 0.8888−1.6753 6.705 −4.1026 3.1406 6.705 0.7645 −1.6035 6.705 −4.005 3.02896.705 0.6257 −1.5229 6.705 −3.8961 2.9052 6.705 0.4726 −1.4334 6.705−3.7757 2.7696 6.705 0.3053 −1.3347 6.705 −3.6493 2.6284 6.705 0.1311−1.2311 6.705 −3.5166 2.4817 6.705 −0.05 −1.1224 6.705 −3.3776 2.32976.705 −0.2376 −1.0083 6.705 −3.232 2.1724 6.705 −0.4313 −0.8885 6.705−3.0798 2.0101 6.705 −0.6306 −0.7625 6.705 −2.9207 1.843 6.705 −0.8351−0.6297 6.705 −2.7545 1.6713 6.705 −1.0443 −0.4896 6.705 −2.5806 1.49566.705 −1.2508 −0.3464 6.705 −2.4046 1.322 6.705 −1.4543 −0.1999 6.705−2.2264 1.1506 6.705 −1.6547 −0.0496 6.705 −2.0462 0.9813 6.705 −1.85140.1047 6.705 −1.8639 0.8144 6.705 −2.0444 0.2635 6.705 −1.6796 0.64976.705 −2.2333 0.4268 6.705 −1.4935 0.4869 6.705 −2.418 0.595 6.705−1.306 0.3258 6.705 −2.5983 0.7683 6.705 −1.1174 0.1659 6.705 −2.77410.9467 6.705 −0.928 0.0069 6.705 −2.9457 1.13 6.705 −0.7379 −0.15116.705 −3.1133 1.3179 6.705 −0.5469 −0.3082 6.705 −3.2718 1.5035 6.705−0.3615 −0.4591 6.705 −3.4216 1.6864 6.705 −0.1817 −0.6037 6.705 −3.56321.866 6.705 −0.0075 −0.7422 6.705 −3.6972 2.0418 6.705 0.161 −0.87466.705 −3.8236 2.2127 6.705 0.3238 −1.0009 6.705 −3.9425 2.3786 6.7050.4808 −1.1212 6.705 −4.0538 2.5395 6.705 0.632 −1.2356 6.705 −4.15782.695 6.705 0.7705 −1.3394 6.705 −4.2498 2.8382 6.705 0.8963 −1.43286.705 −4.33 2.9685 6.705 1.009 −1.516 6.705 −4.3991 3.0858 6.705 1.1086−1.5892 6.705 −4.4615 3.1971 6.705 1.195 −1.6525 6.705 −4.512 3.29556.705 1.2682 −1.7061 6.705 −4.5459 3.3735 6.705 1.3307 −1.7518 6.705−4.5676 3.438 6.705 1.3834 −1.7902 6.705 −4.5784 3.4878 6.705 1.4267−1.8217 6.705 −4.5804 3.526 6.705 1.4614 −1.8468 6.705 −4.5769 3.54696.705 1.4852 −1.8696 6.705 −4.5712 3.5592 6.705 1.4944 −1.8928 6.705−4.5668 3.5645 6.705 1.4949 −1.9137 6.705 −4.5642 3.5667 6.705 1.4905−1.9298 6.705 1.3434 −2.2007 7.908 −4.5025 3.7209 7.908 1.3346 −2.217.908 −4.501 3.7218 7.908 1.3201 −2.2191 7.908 −4.4979 3.7232 7.9081.2994 −2.2239 7.908 −4.4913 3.7247 7.908 1.2744 −2.2192 7.908 −4.47773.7238 7.908 1.2455 −2.201 7.908 −4.4578 3.7167 7.908 1.2087 −2.17627.908 −4.4254 3.6972 7.908 1.1627 −2.1452 7.908 −4.3862 3.6654 7.9081.1068 −2.1075 7.908 −4.3382 3.6186 7.908 1.0403 −2.0626 7.908 −4.28193.5568 7.908 0.9625 −2.01 7.908 −4.2117 3.4737 7.908 0.8707 −1.94777.908 −4.1315 3.3771 7.908 0.7649 −1.8756 7.908 −4.0457 3.2742 7.9080.6452 −1.7937 7.908 −3.9489 3.1587 7.908 0.5116 −1.7018 7.908 −3.8413.0306 7.908 0.3641 −1.5999 7.908 −3.7223 2.8898 7.908 0.2029 −1.4887.908 −3.5978 2.7428 7.908 0.0349 −1.3707 7.908 −3.4676 2.5898 7.908−0.1396 −1.248 7.908 −3.3315 2.4308 7.908 −0.3205 −1.1198 7.908 −3.18922.2659 7.908 −0.5074 −0.9855 7.908 −3.0407 2.0956 7.908 −0.6999 −0.8457.908 −2.8857 1.9197 7.908 −0.8975 −0.6975 7.908 −2.724 1.7386 7.908−1.0998 −0.5428 7.908 −2.5552 1.5526 7.908 −1.2996 −0.3854 7.908 −2.38461.3681 7.908 −1.4965 −0.225 7.908 −2.2125 1.1853 7.908 −1.6902 −0.06127.908 −2.0387 1.004 7.908 −1.8802 0.1065 7.908 −1.8632 0.8244 7.908−2.0662 0.2784 7.908 −1.6858 0.6465 7.908 −2.248 0.4547 7.908 −1.50660.4705 7.908 −2.4255 0.6354 7.908 −1.3261 0.2958 7.908 −2.5988 0.82067.908 −1.1445 0.1221 7.908 −2.7678 1.0103 7.908 −0.9624 −0.0508 7.908−2.9329 1.204 7.908 −0.7797 −0.2233 7.908 −3.0944 1.4017 7.908 −0.5966−0.3953 7.908 −3.2472 1.5961 7.908 −0.4191 −0.5609 7.908 −3.3917 1.78717.908 −0.2471 −0.7203 7.908 −3.5282 1.9741 7.908 −0.0807 −0.8734 7.908−3.6575 2.1565 7.908 0.0802 −1.02 7.908 −3.7795 2.3335 7.908 0.2356−1.1603 7.908 −3.8944 2.505 7.908 0.3855 −1.2942 7.908 −4.0022 2.67087.908 0.5297 −1.4218 7.908 −4.1031 2.8308 7.908 0.6618 −1.5379 7.908−4.1924 2.9778 7.908 0.7816 −1.6426 7.908 −4.2704 3.1115 7.908 0.889−1.736 7.908 −4.3377 3.2316 7.908 0.9839 −1.8183 7.908 −4.3985 3.34537.908 1.0662 −1.8895 7.908 −4.4482 3.4455 7.908 1.1359 −1.9497 7.908−4.4821 3.5245 7.908 1.1955 −2.0012 7.908 −4.5043 3.5896 7.908 1.2456−2.0444 7.908 −4.5159 3.6399 7.908 1.2869 −2.0799 7.908 −4.519 3.67847.908 1.3199 −2.1083 7.908 −4.5163 3.6997 7.908 1.3442 −2.1311 7.908−4.511 3.7124 7.908 1.3542 −2.1536 7.908 −4.5066 3.7177 7.908 1.3546−2.1742 7.908 −4.504 3.72 7.908 1.3498 −2.19 7.908 1.287 −2.3166 8.5095−4.4779 3.7953 8.5095 1.2778 −2.3256 8.5095 −4.4764 3.7962 8.5095 1.2627−2.3339 8.5095 −4.4733 3.7975 8.5095 1.2416 −2.3371 8.5095 −4.46653.7989 8.5095 1.2169 −2.3299 8.5095 −4.4529 3.7975 8.5095 1.1889 −2.31018.5095 −4.433 3.7898 8.5095 1.1527 −2.284 8.5095 −4.4009 3.7693 8.50951.1074 −2.2513 8.5095 −4.3619 3.7364 8.5095 1.0523 −2.2116 8.5095−4.3142 3.6886 8.5095 0.9869 −2.1643 8.5095 −4.2581 3.6255 8.5095 0.9104−2.1089 8.5095 −4.1879 3.5411 8.5095 0.8201 −2.0433 8.5095 −4.10753.4431 8.5095 0.7159 −1.9674 8.5095 −4.0215 3.3388 8.5095 0.598 −1.88138.5095 −3.9246 3.2216 8.5095 0.4664 −1.7848 8.5095 −3.8168 3.0915 8.50950.3212 −1.6778 8.5095 −3.6982 2.9483 8.5095 0.1624 −1.5604 8.5095−3.5742 2.7987 8.5095 −0.0031 −1.4374 8.5095 −3.4445 2.6428 8.5095−0.1751 −1.3089 8.5095 −3.3092 2.4805 8.5095 −0.3533 −1.1747 8.5095−3.1681 2.3122 8.5095 −0.5376 −1.0344 8.5095 −3.0208 2.138 8.5095−0.7274 −0.8875 8.5095 −2.8673 1.958 8.5095 −0.9224 −0.7338 8.5095−2.7075 1.7722 8.5095 −1.122 −0.5727 8.5095 −2.5408 1.5813 8.5095−1.3192 −0.409 8.5095 −2.3726 1.3917 8.5095 −1.5135 −0.2424 8.5095−2.2031 1.2034 8.5095 −1.7046 −0.0724 8.5095 −2.0321 1.0165 8.5095−1.8919 0.1015 8.5095 −1.8596 0.831 8.5095 −2.0751 0.2796 8.5095 −1.68530.6472 8.5095 −2.254 0.4622 8.5095 −1.5092 0.4651 8.5095 −2.4286 0.64928.5095 −1.3316 0.2843 8.5095 −2.599 0.8406 8.5095 −1.1531 0.1045 8.5095−2.7652 1.0362 8.5095 −0.974 −0.0748 8.5095 −2.9277 1.2357 8.5095−0.7946 −0.2538 8.5095 −3.0867 1.4388 8.5095 −0.6148 −0.4324 8.5095−3.2372 1.6384 8.5095 −0.4407 −0.6047 8.5095 −3.3796 1.8341 8.5095−0.2721 −0.7707 8.5095 −3.5141 2.0253 8.5095 −0.1091 −0.9302 8.5095−3.6413 2.211 8.5095 0.0485 −1.0832 8.5095 −3.7613 2.391 8.5095 0.2006−1.2297 8.5095 −3.8745 2.5652 8.5095 0.3474 −1.3696 8.5095 −3.98092.7335 8.5095 0.4886 −1.503 8.5095 −4.0804 2.8959 8.5095 0.6179 −1.62458.5095 −4.1686 3.0449 8.5095 0.7351 −1.7341 8.5095 −4.2458 3.1802 8.50950.8402 −1.832 8.5095 −4.3123 3.3017 8.5095 0.9331 −1.9182 8.5095 −4.37243.4168 8.5095 1.0136 −1.9929 8.5095 −4.4217 3.518 8.5095 1.0818 −2.0568.5095 −4.4557 3.5976 8.5095 1.1401 −2.1099 8.5095 −4.4781 3.6631 8.50951.1891 −2.1553 8.5095 −4.4901 3.7136 8.5095 1.2294 −2.1925 8.5095−4.4937 3.7524 8.5095 1.2617 −2.2223 8.5095 −4.4914 3.7739 8.5095 1.2862−2.2455 8.5095 −4.4863 3.7867 8.5095 1.2979 −2.2681 8.5095 −4.482 3.79218.5095 1.2989 −2.2894 8.5095 −4.4794 3.7944 8.5095 1.2939 −2.3057 8.50951.2324 −2.4261 9.111 −4.4552 3.8658 9.111 1.2228 −2.4349 9.111 −4.45363.8667 9.111 1.2072 −2.4424 9.111 −4.4504 3.868 9.111 1.1857 −2.44429.111 −4.4436 3.8691 9.111 1.1617 −2.4347 9.111 −4.4299 3.8672 9.1111.1342 −2.4137 9.111 −4.4101 3.8588 9.111 1.0985 −2.3863 9.111 −4.37823.8373 9.111 1.0539 −2.3521 9.111 −4.3396 3.8034 9.111 0.9997 −2.31059.111 −4.2922 3.7544 9.111 0.9352 −2.2609 9.111 −4.2364 3.6901 9.1110.8599 −2.2028 9.111 −4.1662 3.6044 9.111 0.7709 −2.1341 9.111 −4.08553.5052 9.111 0.6683 −2.0546 9.111 −3.9992 3.3995 9.111 0.5521 −1.96459.111 −3.902 3.2807 9.111 0.4224 −1.8636 9.111 −3.7941 3.1488 9.1110.2792 −1.7518 9.111 −3.6755 3.0035 9.111 0.1226 −1.6291 9.111 −3.55152.8515 9.111 −0.0406 −1.5008 9.111 −3.4222 2.6929 9.111 −0.2102 −1.36689.111 −3.2874 2.5278 9.111 −0.3861 −1.2268 9.111 −3.147 2.3563 9.111−0.5679 −1.0806 9.111 −3.0007 2.1786 9.111 −0.7552 −0.9278 9.111 −2.84861.9946 9.111 −0.9475 −0.7678 9.111 −2.6906 1.8044 9.111 −1.1444 −0.60029.111 −2.526 1.6087 9.111 −1.3388 −0.4302 9.111 −2.3602 1.414 9.111−1.5303 −0.2572 9.111 −2.1931 1.2205 9.111 −1.7185 −0.0809 9.111 −2.02491.028 9.111 −1.9029 0.0992 9.111 −1.8551 0.8368 9.111 −2.0832 0.28369.111 −1.6836 0.6472 9.111 −2.2591 0.4723 9.111 −1.5104 0.4591 9.111−2.4306 0.6653 9.111 −1.3359 0.2723 9.111 −2.598 0.8626 9.111 −1.16040.0862 9.111 −2.7614 1.0639 9.111 −0.9845 −0.0994 9.111 −2.9211 1.26889.111 −0.8083 −0.2848 9.111 −3.0776 1.4771 9.111 −0.6319 −0.47 9.111−3.2259 1.6813 9.111 −0.461 −0.6487 9.111 −3.366 1.8809 9.111 −0.2956−0.8208 9.111 −3.4985 2.0753 9.111 −0.1357 −0.9864 9.111 −3.6238 2.26399.111 0.0189 −1.1453 9.111 −3.7424 2.4466 9.111 0.1681 −1.2975 9.111−3.8542 2.6232 9.111 0.3119 −1.443 9.111 −3.9596 2.7937 9.111 0.4503−1.5819 9.111 −4.0582 2.958 9.111 0.5771 −1.7083 9.111 −4.1457 3.10879.111 0.6919 −1.8225 9.111 −4.2222 3.2455 9.111 0.7949 −1.9245 9.111−4.2882 3.3683 9.111 0.8859 −2.0144 9.111 −4.3478 3.4846 9.111 0.9647−2.0923 9.111 −4.3969 3.5867 9.111 1.0315 −2.1581 9.111 −4.431 3.66689.111 1.0886 −2.2144 9.111 −4.4538 3.7327 9.111 1.1366 −2.2616 9.111−4.4662 3.7834 9.111 1.1761 −2.3005 9.111 −4.4703 3.8224 9.111 1.2076−2.3316 9.111 −4.4684 3.844 9.111 1.2319 −2.3556 9.111 −4.4635 3.85719.111 1.2438 −2.378 9.111 −4.4593 3.8626 9.111 1.2448 −2.3992 9.111−4.4566 3.8649 9.111 1.2396 −2.4154 9.111 1.1393 −2.6232 10.3141 −4.41743.9995 10.3141 1.1289 −2.6314 10.3141 −4.4158 4.0003 10.3141 1.1125−2.6376 10.3141 −4.4125 4.0015 10.3141 1.0906 −2.6368 10.3141 −4.40554.0022 10.3141 1.0679 −2.6238 10.3141 −4.3918 3.9992 10.3141 1.0412−2.601 10.3141 −4.3723 3.9892 10.3141 1.0064 −2.5714 10.3141 −4.3413.9655 10.3141 0.9631 −2.5342 10.3141 −4.3032 3.9295 10.3141 0.9104−2.489 10.3141 −4.2567 3.878 10.3141 0.8479 −2.4351 10.3141 −4.20143.8111 10.3141 0.7748 −2.3719 10.3141 −4.1312 3.7228 10.3141 0.6883−2.2974 10.3141 −4.0501 3.6208 10.3141 0.5885 −2.2114 10.3141 −3.96333.5123 10.3141 0.4755 −2.1138 10.3141 −3.8657 3.3902 10.3141 0.3493−2.0046 10.3141 −3.7573 3.2545 10.3141 0.21 −1.8838 10.3141 −3.63843.105 10.3141 0.0574 −1.7513 10.3141 −3.5143 2.9485 10.3141 −0.1016−1.613 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20.6215 2.2777 −2.4652 20.6215 −2.3349 1.372520.6215 2.4698 −2.5294 20.6215 −2.4608 1.5015 20.6215 2.6542 −2.588620.6215 −2.5755 1.6176 20.6215 2.8224 −2.6409 20.6215 −2.6785 1.720920.6215 2.9741 −2.6868 20.6215 −2.7698 1.8117 20.6215 3.1091 −2.726920.6215 −2.8497 1.8897 20.6215 3.2359 −2.764 20.6215 −2.9181 1.954820.6215 3.3458 −2.796 20.6215 −2.9773 2.0097 20.6215 3.4304 −2.820620.6215 −3.0276 2.0552 20.6215 3.498 −2.8402 20.6215 −3.0696 2.091920.6215 3.5488 −2.8549 20.6215 −3.1039 2.1206 20.6215 3.5869 −2.865420.6215 −3.131 2.1416 20.6215 3.6083 −2.8609 20.6215 −3.1522 2.156220.6215 3.6184 −2.851 20.6215 −3.1708 2.167 20.6215 3.6217 −2.844720.6215 −3.1868 2.1731 20.6215 3.6228 −2.8413 20.6215 3.5007 −2.952421.2777 −3.1675 2.2098 21.2777 3.501 −2.9507 21.2777 −3.1728 2.197821.2777 3.5014 −2.9473 21.2777 −3.1712 2.1802 21.2777 3.5012 −2.940521.2777 −3.1651 2.1591 21.2777 3.4974 −2.9275 21.2777 −3.1552 2.134521.2777 3.4843 −2.911 21.2777 −3.1399 2.103 21.2777 3.4491 −2.895521.2777 −3.1179 2.063 21.2777 3.4008 −2.877 21.2777 −3.0885 2.014221.2777 3.3365 −2.8522 21.2777 −3.0511 1.9557 21.2777 3.2562 −2.821121.2777 −3.0056 1.8869 21.2777 3.1519 −2.7804 21.2777 −2.9515 1.80721.2777 3.0317 −2.733 21.2777 −2.8865 1.7132 21.2777 2.9037 −2.682121.2777 −2.8106 1.6056 21.2777 2.76 −2.6239 21.2777 −2.7242 1.483921.2777 2.6009 −2.558 21.2777 −2.6272 1.3483 21.2777 2.4265 −2.483821.2777 −2.519 1.1992 21.2777 2.2453 −2.4039 21.2777 −2.3994 1.036721.2777 2.0577 −2.3178 21.2777 −2.2737 0.8679 21.2777 1.8639 −2.224921.2777 −2.1415 0.693 21.2777 1.6642 −2.1246 21.2777 −2.0026 0.512321.2777 1.4589 −2.0165 21.2777 −1.8566 0.3261 21.2777 1.2481 −1.900321.2777 −1.7028 0.1349 21.2777 1.0324 −1.7749 21.2777 −1.5406 −0.060821.2777 0.8126 −1.639 21.2777 −1.3691 −0.2603 21.2777 0.5977 −1.49721.2777 −1.1932 −0.4564 21.2777 0.3877 −1.3492 21.2777 −1.0124 −0.648421.2777 0.1824 −1.1962 21.2777 −0.8271 −0.8348 21.2777 −0.0181 −1.037621.2777 −0.6371 −1.0149 21.2777 −0.2135 −0.8731 21.2777 −0.4421 −1.18821.2777 −0.4037 −0.7027 21.2777 −0.2417 −1.3537 21.2777 −0.5893 −0.52721.2777 −0.0352 −1.5109 21.2777 −0.771 −0.3468 21.2777 0.1781 −1.658621.2777 −0.9494 −0.1628 21.2777 0.3986 −1.7966 21.2777 −1.1252 0.024221.2777 0.6258 −1.9253 21.2777 −1.2989 0.2136 21.2777 0.8588 −2.045821.2777 −1.4652 0.3985 21.2777 1.0891 −2.1554 21.2777 −1.6246 0.577921.2777 1.3148 −2.2555 21.2777 −1.7778 0.7514 21.2777 1.5343 −2.347221.2777 −1.9252 0.9186 21.2777 1.7473 −2.4312 21.2777 −2.067 1.079321.2777 1.9537 −2.5082 21.2777 −2.2035 1.2332 21.2777 2.1531 −2.578721.2777 −2.3349 1.3802 21.2777 2.3453 −2.6433 21.2777 −2.4555 1.513821.2777 2.53 −2.7027 21.2777 −2.5654 1.634 21.2777 2.6985 −2.755 21.2777−2.6643 1.7411 21.2777 2.8505 −2.8008 21.2777 −2.7521 1.835 21.27772.9858 −2.8407 21.2777 −2.829 1.9157 21.2777 3.1128 −2.8777 21.2777−2.8948 1.9832 21.2777 3.223 −2.9094 21.2777 −2.9519 2.0401 21.27773.3078 −2.9336 21.2777 −3.0005 2.0872 21.2777 3.3757 −2.953 21.2777−3.0411 2.1255 21.2777 3.4266 −2.9674 21.2777 −3.0742 2.1553 21.27773.4648 −2.9779 21.2777 −3.1006 2.1772 21.2777 3.4861 −2.9736 21.2777−3.1212 2.1925 21.2777 3.4961 −2.9639 21.2777 −3.1394 2.204 21.27773.4993 −2.9575 21.2777 −3.1551 2.2107 21.2777 3.5003 −2.9541 21.27773.3784 −3.0651 21.9339 −3.1353 2.2953 21.9339 3.3786 −3.0634 21.9339−3.1411 2.2836 21.9339 3.3789 −3.06 21.9339 −3.1401 2.2659 21.93393.3783 −3.0532 21.9339 −3.1348 2.2444 21.9339 3.3738 −3.0403 21.9339−3.1258 2.2195 21.9339 3.3599 −3.0242 21.9339 −3.1117 2.1872 21.93393.3243 −3.0092 21.9339 −3.0912 2.1463 21.9339 3.2757 −2.9911 21.9339−3.0636 2.0961 21.9339 3.2109 −2.9668 21.9339 −3.0284 2.036 21.93393.1301 −2.9363 21.9339 −2.9856 1.9651 21.9339 3.0251 −2.8962 21.9339−2.9347 1.8826 21.9339 2.9042 −2.8494 21.9339 −2.8737 1.7857 21.93392.7755 −2.7988 21.9339 −2.8025 1.6744 21.9339 2.6311 −2.7409 21.9339−2.7213 1.5485 21.9339 2.4713 −2.675 21.9339 −2.6301 1.4081 21.93392.2963 −2.6006 21.9339 −2.5284 1.2536 21.9339 2.1145 −2.5203 21.9339−2.4161 1.0851 21.9339 1.9262 −2.4335 21.9339 −2.2981 0.9098 21.93391.732 −2.3396 21.9339 −2.1741 0.7279 21.9339 1.5322 −2.238 21.9339−2.044 0.5398 21.9339 1.3268 −2.1283 21.9339 −1.9071 0.3456 21.93391.1163 −2.01 21.9339 −1.7629 0.1458 21.9339 0.9012 −1.8821 21.9339−1.6106 −0.0588 21.9339 0.6823 −1.743 21.9339 −1.4491 −0.2676 21.93390.4687 −1.597 21.9339 −1.2829 −0.473 21.9339 0.2612 −1.4445 21.9339−1.1112 −0.6743 21.9339 0.0591 −1.286 21.9339 −0.9335 −0.8709 21.9339−0.1369 −1.1208 21.9339 −0.7501 −1.0609 21.9339 −0.3265 −0.9485 21.9339−0.5608 −1.2432 21.9339 −0.51 −0.7694 21.9339 −0.3652 −1.4173 21.9339−0.688 −0.5844 21.9339 −0.1625 −1.5824 21.9339 −0.8616 −0.3944 21.93390.0479 −1.7376 21.9339 −1.0316 −0.2005 21.9339 0.2664 −1.8823 21.9339−1.1986 −0.0034 21.9339 0.4926 −2.0171 21.9339 −1.3631 0.1959 21.93390.7257 −2.143 21.9339 −1.5203 0.39 21.9339 0.9562 −2.2568 21.9339 −1.6710.5783 21.9339 1.1817 −2.36 21.9339 −1.8157 0.7604 21.9339 1.4015−2.4542 21.9339 −1.955 0.9357 21.9339 1.6152 −2.5403 21.9339 −2.08921.1041 21.9339 1.8225 −2.6188 21.9339 −2.2185 1.2654 21.9339 2.0227−2.6905 21.9339 −2.3431 1.4194 21.9339 2.2158 −2.756 21.9339 −2.45751.5595 21.9339 2.4014 −2.816 21.9339 −2.5617 1.6857 21.9339 2.5707−2.8686 21.9339 −2.6555 1.7982 21.9339 2.7235 −2.9145 21.9339 −2.73881.897 21.9339 2.8597 −2.9544 21.9339 −2.8117 1.9819 21.9339 2.9875−2.9911 21.9339 −2.8743 2.0531 21.9339 3.0984 −3.0225 21.9339 −2.92852.1132 21.9339 3.1837 −3.0463 21.9339 −2.9746 2.1633 21.9339 3.2521−3.0653 21.9339 −3.0131 2.2039 21.9339 3.3034 −3.0795 21.9339 −3.04472.2357 21.9339 3.3419 −3.0899 21.9339 −3.07 2.2591 21.9339 3.3636−3.0865 21.9339 −3.0898 2.2756 21.9339 3.374 −3.0768 21.9339 −3.10742.288 21.9339 3.3771 −3.0704 21.9339 −3.1228 2.2956 21.9339 3.3781−3.0669 21.9339 3.2666 −3.1681 22.5339 −3.1062 2.3769 22.5339 3.2668−3.1664 22.5339 −3.1124 2.3653 22.5339 3.2669 −3.163 22.5339 −3.1122.3475 22.5339 3.266 −3.1562 22.5339 −3.1073 2.3258 22.5339 3.2608−3.1434 22.5339 −3.0991 2.3003 22.5339 3.2462 −3.1279 22.5339 −3.08612.2674 22.5339 3.2102 −3.1132 22.5339 −3.0669 2.2256 22.5339 3.1613−3.0955 22.5339 −3.041 2.1742 22.5339 3.0961 −3.0718 22.5339 −3.00782.1126 22.5339 3.0148 −3.0418 22.5339 −2.9674 2.0397 22.5339 2.9092−3.0023 22.5339 −2.9194 1.9549 22.5339 2.7877 −2.956 22.5339 −2.86191.8551 22.5339 2.6584 −2.9058 22.5339 −2.7949 1.7403 22.5339 2.5135−2.8481 22.5339 −2.7184 1.6105 22.5339 2.3531 −2.7823 22.5339 −2.63251.4657 22.5339 2.1777 −2.7076 22.5339 −2.5369 1.3062 22.5339 1.9954−2.6268 22.5339 −2.4313 1.132 22.5339 1.8067 −2.5392 22.5339 −2.32040.9507 22.5339 1.6121 −2.4441 22.5339 −2.2041 0.7624 22.5339 1.4118−2.3411 22.5339 −2.0818 0.5674 22.5339 1.2063 −2.2294 22.5339 −1.95330.3659 22.5339 0.9957 −2.1087 22.5339 −1.8177 0.1586 22.5339 0.7815−1.9783 22.5339 −1.6742 −0.0541 22.5339 0.5648 −1.8371 22.5339 −1.5216−0.2714 22.5339 0.3537 −1.6887 22.5339 −1.364 −0.4854 22.5339 0.1484−1.5328 22.5339 −1.2006 −0.6954 22.5339 −0.0512 −1.3695 22.5339 −1.0305−0.9008 22.5339 −0.2446 −1.1983 22.5339 −0.8541 −1.0994 22.5339 −0.4314−1.0186 22.5339 −0.6711 −1.2902 22.5339 −0.6115 −0.8304 22.5339 −0.4808−1.4724 22.5339 −0.7846 −0.636 22.5339 −0.2825 −1.6452 22.5339 −0.9516−0.4368 22.5339 −0.0754 −1.8076 22.5339 −1.1137 −0.2338 22.5339 0.1411−1.959 22.5339 −1.272 −0.0277 22.5339 0.3667 −2.0996 22.5339 −1.42720.1807 22.5339 0.6001 −2.2305 22.5339

It will be appreciated that the airfoil 105 disclosed in the abovescalable TABLE 1 may be non-scaled, scaled up, or scaled downgeometrically for use in other or similar turbine/compressor designs.Consequently, the coordinate values set forth in TABLE 1 may benon-scaled, scaled upwardly, or scaled downwardly such that the generalairfoil profile shape remains unchanged. A scaled version of thecoordinates in TABLE 1 would be represented by X, Y, and Z coordinatevalues of TABLE 1, with the X, Y, and Z non-dimensional coordinatevalues converted to inches or millimeters (or any suitable dimensionalsystem), multiplied or divided by a constant number. The constant numbermay be a fraction, decimal fraction, integer or mixed number.

The disclosed airfoil shape thus may increase reliability and may bespecific to the machine conditions and specifications. The airfoil shapeprovides a unique profile to achieve (1) interaction between otherstages in the compressor; (2) aerodynamic efficiency; and (3) normalizedaerodynamic and mechanical blade or vane loadings. The disclosed loci ofpoints allow the gas turbine and the compressor or any other suitableturbine/compressor to run in an efficient, safe and smooth manner. Asalso noted, any scale of the disclosed airfoil may be adopted as long as(1) interaction between other stages in the compressor; (2) aerodynamicefficiency; and (3) normalized aerodynamic and mechanical blade loadingsare maintained in the scaled compressor.

The airfoil 105 described herein thus improves overall compressorefficiency. Specifically, the airfoil 105 may provide the desiredturbine/compressor efficiency lapse rate (ISO, hot, cold, part load,etc.). The airfoil 105 also meets all aeromechanics, loading and stressrequirements.

It should be apparent that the foregoing relates only to certainembodiments of the present application and the resultant patent.Numerous changes and modifications may be made herein by one of ordinaryskill in the art without departing from the general spirit and scope ofthe invention as defined by the following claims and the equivalentsthereof.

We claim:
 1. An article of manufacture having a nominal airfoil profilesubstantially in accordance with Cartesian coordinate values of X, Y,and Z set forth in scalable TABLE 1, wherein the Cartesian coordinatevalues of X, Y, and Z are non-dimensional values convertible todimensional distances by multiplying the Cartesian coordinate values ofX, Y, and Z by a number, and wherein X and Y are coordinates which, whenconnected by continuing arcs, define airfoil profile sections at each Zheight, the airfoil profile sections at each Z height being joined withone another to form a complete airfoil shape.
 2. The article ofmanufacture according to claim 1, wherein the article of manufacturecomprises an airfoil.
 3. The article of manufacture according to claim1, wherein the article of manufacture comprises a rotor blade configuredfor use with a compressor.
 4. The article of manufacture according toclaim 1, wherein the airfoil shape lies in an envelope within at leastone of: +/−5% of a chord length in a direction normal to an airfoilsurface location and +/−0.25 inches (about 6.36 millimeters) in adirection normal to an airfoil surface location.
 5. The article ofmanufacture according to claim 1, wherein the number, used to convertthe non-dimensional values to dimensional distances, is at least one ofa fraction, a decimal fraction, an integer, and a mixed number.
 6. Thearticle of manufacture according to claim 1, wherein a height of thearticle of manufacture is about 1 inch to about 20 inches (about 2.54centimeters to about 50.8 centimeters).
 7. An article of manufacturehaving a suction-side nominal airfoil profile substantially inaccordance with suction-side Cartesian coordinate values of X, Y, and Zset forth in scalable TABLE 1, wherein the Cartesian coordinate valuesof X, Y, and Z are non-dimensional values convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y, and Zby a number, and wherein X and Y are coordinates which, when connectedby continuing arcs, define airfoil profile sections at each Z height,the airfoil profile sections at each Z height being joined with oneanother to form a complete suction-side airfoil shape, the X, Y, and Zcoordinate values being scalable as a function of the number to provideat least one of a non-scaled, scaled-up, and scaled-down airfoilprofile.
 8. The article of manufacture according to claim 7, wherein thearticle of manufacture comprises an airfoil.
 9. The article ofmanufacture according to claim 7, wherein the article of manufacturecomprises a rotor blade configured for use with a compressor.
 10. Thearticle of manufacture according to claim 7, wherein the suction-sideairfoil shape lies in an envelope within at least one of: +/−5% of achord length in a direction normal to a suction-side airfoil surfacelocation and +/−0.25 inches (about 6.36 millimeters) in a directionnormal to a suction-side airfoil surface location.
 11. The article ofmanufacture according to claim 7, wherein the number, used to convertthe non-dimensional values to dimensional distances, is at least one ofa fraction, a decimal fraction, an integer, and a mixed number.
 12. Thearticle of manufacture according to claim 7, wherein a height of thearticle of manufacture is about 1 inch to about 20 inches (about 2.54centimeters to about 50.8 centimeters).
 13. The article of manufactureaccording to claim 7, further comprising the article of manufacturehaving a pressure-side nominal airfoil profile substantially inaccordance with pressure-side Cartesian coordinate values of X, Y, and Zset forth in the scalable table, wherein the Cartesian coordinate valuesof X, Y, and Z are non-dimensional values convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y, and Zby a number, and wherein X and Y are coordinates which, when connectedby continuing arcs, define airfoil profile sections at each Z height,the airfoil profile sections at each Z height being joined with oneanother to form a complete pressure-side airfoil shape, the X, Y, and Zvalues being scalable as a function of the number to provide at leastone of a non-scaled, scaled-up, and scaled-down airfoil.
 14. Acompressor comprising a plurality of rotor blades, each of the rotorblades including an airfoil having a suction-side airfoil shape, theairfoil having a nominal profile substantially in accordance withsuction-side Cartesian coordinate values of X, Y, and Z set forth inscalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Zare non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete suction-side airfoil shape.
 15. The compressor according toclaim 14, wherein the suction-side airfoil shape lies in an envelopewithin at least one of: +/−5% of a chord length in a direction normal toa suction-side airfoil surface location and +/−0.25 inches (about 6.36millimeters) in a direction normal to a suction-side airfoil surfacelocation.
 16. The compressor according to claim 14, wherein the number,used to convert the non-dimensional values to dimensional distances, isat least one of a fraction, a decimal fraction, an integer, and a mixednumber.
 17. The compressor according to claim 14, wherein a height ofeach rotor blade is about 1 inch to about 20 inches (about 2.54centimeters to about 50.8 centimeters).
 18. The compressor according toclaim 14, further comprising each of the plurality of rotor bladeshaving a pressure-side nominal airfoil profile substantially inaccordance with pressure-side Cartesian coordinate values of X, Y, and Zset forth in the scalable table, wherein the Cartesian coordinate valuesof X, Y, and Z are non-dimensional values convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y, and Zby the number, and wherein X and Y are coordinates which, when connectedby continuing arcs, define airfoil profile sections at each Z height,the airfoil profile sections at each Z height being joined with oneanother to form a complete pressure-side airfoil shape.
 19. Thecompressor according to claim 18, wherein the pressure-side airfoilshape lies in an envelope within at least one of: +/−5% of a chordlength in a direction normal to a pressure-side airfoil surface locationand +/−0.25 inches (about 6.36 millimeters) in a direction normal to apressure-side airfoil surface location.
 20. The compressor according toclaim 18, wherein the number, used to convert the non-dimensional valuesto dimensional distances, is at least one of a fraction, a decimalfraction, an integer, and a mixed number.